995708160 has 288 divisors, whose sum is σ = 3614446080. Its totient is φ = 259448832.

The previous prime is 995708137. The next prime is 995708171. The reversal of 995708160 is 61807599.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1624014 + ... + 1624626.

It is an arithmetic number, because the mean of its divisors is an integer number (12550160).

Almost surely, 2^995708160 is an apocalyptic number.

995708160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 995708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807223040).

995708160 is an abundant number, since it is smaller than the sum of its proper divisors (2618737920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

995708160 is a wasteful number, since it uses less digits than its factorization.

995708160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 995708160 is about 31554.8436852411. The cubic root of 995708160 is about 998.5673351182.

The spelling of 995708160 in words is "nine hundred ninety-five million, seven hundred eight thousand, one hundred sixty".